133023113300133 has 16 divisors (see below), whose sum is σ = 225224318815360. Its totient is φ = 76013207599968.

The previous prime is 133023113300107. The next prime is 133023113300141. The reversal of 133023113300133 is 331003311320331.

133023113300133 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 311 + 330 + 0 + 13 + 3 = 666.

It is not a de Polignac number, because 133023113300133 - 2¹⁷ = 133023113169061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133023113300097 and 133023113300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023113300153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351912997960 + ... + 351912998337.

It is an arithmetic number, because the mean of its divisors is an integer number (14076519925960).

Almost surely, 2^{133023113300133} is an apocalyptic number.

It is an amenable number.

133023113300133 is a deficient number, since it is larger than the sum of its proper divisors (92201205515227).

133023113300133 is an equidigital number, since it uses as much as digits as its factorization.

133023113300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703825996313 (or 703825996307 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133023113300133 its reverse (331003311320331), we get a palindrome (464026424620464).

The spelling of 133023113300133 in words is "one hundred thirty-three trillion, twenty-three billion, one hundred thirteen million, three hundred thousand, one hundred thirty-three".